Mathematical optimization software
Convex Over and Under ENvelopes for Nonlinear Estimation (Couenne) is an open-source library for solving global optimization problems, also termed mixed integer nonlinear optimization problems. A global optimization problem requires to minimize a function, called objective function, subject to a set of constraints. Both the objective function and the constraints might be nonlinear and nonconvex. For solving these problems, Couenne uses a reformulation procedure and provides a linear programming approximation of any nonconvex optimization problem. Couenne is an implementation of a branch-and-bound where every subproblem is solved by constructing a linear programming relaxation to obtain a lower bound. Branching may occur at both continuous and integer variables, which is necessary in global optimization problems. It requires the input to be specified in A Mathematical Programming Language (AMPL) .nl format, so as to be used from AMPL, and writes as an output a file .sol containing the best solution found until that moment (if the optimization is interrupted) or the global optimum if it completes without interruption. The development of Couenne began in 2006 within a collaboration between IBM and Carnegie Mellon University. It is open-source software and is currently released under the Eclipse Public License v1.0. The source code is available for download in the Computational Infrastructure for Operations Research COIN-OR repository and on GitHub. Couenne uses other packages both in COIN-OR (CBC, CLP, COIN-OR OSI, COIN-OR Bonmin, COIN-OR Cgl, Interior Point OPTimizer (IPOPT)) and outside (LAPACK, Basic Linear Algebra Subprograms (BLAS), MUltifrontal Massively Parallel sparse direct Solver (MUMPS), Nauty, Solving Constraint Integer Programs (SCIP), SoPlex). (Wikipedia).
Trigonometry 5 The Cosine Relationship
A geometrical explanation of the law of cosines.
From playlist Trigonometry
Applying the law of cosines to solve a word problem
Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no angle measure and the length of the side opposite th
From playlist Solve Law of Cosines (Word Problem) #ObliqueTriangles
What is a Coulomb? An Explanation
Gives a comprehensive description of what coulomb is. Includes three worked examples; how to calculate the number of electrons in a coulomb, number of electrons in a given amount of charge and charge from a given number of electrons. You can see a listing of all my videos at my website,
From playlist Electricity and Magnetism
Using the law of cosines for a triangle with SAS
Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no angle measure and the length of the side opposite th
From playlist Law of Cosines
Physics 35 Coulomb's Law (1 of 8)
Visit http://ilectureonline.com for more math and science lectures! In this three part lecture, I will introduce you to Coulomb's law, which describes the electric force between two charged particles or objects. It's format is similar to Newton's law of gravity, though Coulomb's constant
From playlist MOST POPULAR VIDEOS
How to use law of cosines for SSS
Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no angle measure and the length of the side opposite th
From playlist Law of Cosines
Covalent Compounds: Writing Chemical Names and Formulas
How to write the chemical names and formulas for covalent compounds. You can see a listing of all my videos at my website, http://www.stepbystepscience.com
From playlist Chemical Equations; Ionic and Covalent Compounds
What is a Coordinate Covalent Bond?
This chemistry video tutorial provides a basic introduction into coordinate covalent bond. Line any covalent bond, electrons are shared. However, in a coordinate covalent bond, one atom donates both electrons that contribute to the formation of the bond. A lewis acid lewis base reaction
From playlist New AP & General Chemistry Video Playlist
Coulomb's Law (2 of 7) Calculate the Force Between Two Charges
Using Coulomb's law shows how to calculate the magitude and direction of the electric force between two charged particles. Coulomb's law states that the magnitude of the force between two point charges is directly proportional to the product of the magnitudes of charges and inversely propo
From playlist Coulomb's Law and the Electric Force
Applying the law of cosines when given SAS
Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no angle measure and the length of the side opposite th
From playlist Law of Cosines